If 20% percent of the trees in a certain park are evergreen, and 40% of the non evergreens are maple trees, and there

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If 20% percent of the trees in a certain park are evergreen, and 40% of the non evergreens are maple trees, and there are 75% as many oak trees as maple trees in the park, what percent of the trees in the park are not maples, oaks or evergreens?

(A) 10%
(B) 12%
(C) 20%
(D) 24%
(E) 25%


OA D

Source: Princeton Review

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BTGmoderatorDC wrote:
Mon Sep 26, 2022 4:32 pm
If 20% percent of the trees in a certain park are evergreen, and 40% of the non evergreens are maple trees, and there are 75% as many oak trees as maple trees in the park, what percent of the trees in the park are not maples, oaks or evergreens?

(A) 10%
(B) 12%
(C) 20%
(D) 24%
(E) 25%


OA D

Source: Princeton Review

20 are evergreen and so 80 are non-evergreen. Thus, 0.4 x 80 = 32 are maple.

The phrase “there are 75 percent as many oak trees as maple trees” means that the number of oaks is 75% of the number of maple trees. Thus, there are 3/4 x 32 = 24 oak trees.

So the percent that are not any of the above types is 100 - 20 - 32 - 24 = 24.

Answer: D

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